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8 Bounded Perturbations of Nonselfadjoint Operators

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1830)

Abstract

In the present chapter we consider the operators of the kind A+B, where A is a P-triangular operator and B is a bounded operator. We investigate the invertibility conditions and bounds for the spectra of such operators. In particular, we consider perturbations of the von Neumann - Schatten operators and operators with von Neumann - Schatten Hermitian components.

Keywords

  • Linear Operator
  • Compact Operator
  • Previous Lemma
  • Regular Point
  • Spectral Variation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 2003 Springer-Verlag Berlin Heidelberg

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Gil’, M.I. (2003). 8 Bounded Perturbations of Nonselfadjoint Operators. In: Operator Functions and Localization of Spectra. Lecture Notes in Mathematics, vol 1830. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45225-6_8

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  • DOI: https://doi.org/10.1007/978-3-540-45225-6_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20246-2

  • Online ISBN: 978-3-540-45225-6

  • eBook Packages: Springer Book Archive